Question

given sin a = .29 find the angle a in degrees. round your answer to the nearest hundredth. 16.86° 15.86° 14.86° 13.86°

Answer 1

Given that sin a = .29 then the angle a in degrees is 16.86

Answer 2

Answer:

16.86°

Step-by-step explanation:

Given the value for sin(a) = 0.29, we need to find the angle, in this case, a, whose sin(a) = 0.29.

In other words, we need to find the inverse function for the function in question.

In this case, the inverse function of sin(x) is arcsin(x) (which is also commonly known as $\\ sin^{-1}(x)$).

So, for $\\ sin(a) = 0.29$, we can find the function $\\ sin^{-1}(x)$ in a digital calculator, or asking WolframAlpha in Internet, so we have that $\\ sin^{-1}(0.29)=16.86$ degrees (°).

In fact, we can check this result for a = 16.86°:$\\ sin(16.86) = 0.29$.

In other words, we found that 16.86° is the angle in degrees whose $\\ sin(16.86) = 0.29$.

One word of caution: we need to be careful about if we are using degrees  (known for this symbol ° ) or radians when calculating angles.

In the past, people were used to consult large tables with values for $\\ sin(x), cos(x), tan(x)$ and so on, and looking for the angle that generated such a value of $\\ sin(x), cos(x), tan(x)$, respectively.

There are many other cases in which we have inverse functions, for example, logartithm is the inverse function of exponential function.